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Finding the Fourth Proportional to 47,769.80, 65,920.38 and 26,547.80

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Solution

The fourth proportional to 47,769.80, 65,920.38 and 26,547.80 is: 36,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769.80 : 65,920.38 = 26,547.80 : x
  2. Step 2: Convert to fraction form
    47,769.80/65,920.38 = 26,547.80/x
  3. Step 3: Cross multiply
    47,769.80x = 65,920.38 × 26,547.80
  4. Step 4: Simplify right side
    47,769.80x = 1,750,041,064.16
  5. Step 5: Solve for x
    x = 1,750,041,064.16/47,769.80
  6. Step 6: Final answer
    x = 36,634.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.